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natali 33 [55]
3 years ago
11

The sum of three times a number and 10 is 31.Find the number.

Mathematics
1 answer:
olga55 [171]3 years ago
4 0

Answer:

7

Step-by-step explanation:

Let the number be n.

3n+10=31

Subtract 10 from both sides:

3n+10-10=31-10

3n=21

Divide both sides by 3:

\frac{3n}{3}=\frac{21}{3}

n=7

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3 years ago
Noah ran around the track two times. How far did he run in feet? Round your answer to the nearest whole number.
AfilCa [17]

Answer:

237 feet

Step-by-step explanation:

take the circumference (5), square it, and multiply it by pi. Then add 40 for the distance of the two sides. Multiply your answer by two to find the distance for twice around

8 0
3 years ago
Is X +3 a factor of 2X squared minus 2X -12
Fantom [35]

Answer: No, x+3 is not a factor of 2x^2-2x-12

========================================================

Explanation:

Let p(x) = 2x^2 - 2x - 12

If we divide p(x) over (x-k), then the remainder is p(k). I'm using the remainder theorem. A special case of the remainder theorem is that if p(k) = 0, then x-k is a factor of p(x).

Compare x+3 = x-(-3) to x-k to find that k = -3.

Plug x = -3 into the function

p(x) = 2x^2 - 2x - 12

p(-3) = 2(-3)^2 - 2(-3) - 12

p(-3) = 12

We don't get 0 as a result so x+3 is not a factor of p(x) = 2x^2 - 2x - 12

----------------------------------------

Let's see what happens when we factor p(x)

2x^2 - 2x - 12

2(x^2 - x - 6)

2(x - 3)(x + 2)

The factors here are 2, x-3 and x+2

3 0
3 years ago
complete the sentence. two geometric figures are______ figures if and only there is a rigid motion or a composition of rigid mot
uranmaximum [27]
It is a translation
5 0
3 years ago
Three toed sloths move slowly using as littile energy as Possible.They sleep,Eat,and evening give birth upside down.A baby sloth
Bumek [7]

Answer:

3636 hours

Step-by-step explanation:

The calculation of duration of baby sloth sleep is shown below:-

A three-toes sloth usually sleeps is

= 101 hours per week.

Number of week is

= 36

Since we need to compute the duration of baby sloth's sleep so we need to multiply the number of weeks with number of hours per week

Therefore,

The duration of baby sloth's sleep in 36 weeks

= 36 x 101

= 3636 hours

5 0
3 years ago
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